doi:10.3934/dcds.2009.25.991          Full text: (190.2K)

Dominika Pilarczyk - Instytut Matematyczny, Uniwersytet Wroclawski, pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland (email)

Abstract: In this paper, we discuss the asymptotic stability of singular steady states of the nonlinear heat equation $u_t=\Delta u+u^p$ in weighted $L^r$ - norms.

Keywords: semilinear parabolic equation, asymptotics of solutions, supercritical nonlinearity.
Mathematics Subject Classification: Primary: 35K57; Secondary: 35B33, 35B40.

Received:   December   2008;   Revised:   June  2009;   Published:   August  2009.

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